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Chapter:

Time-and-Work

1. The ratio of quantities of sugar, in which sugar costing Rs. 20 per kg and Rs. 15 per kg, should be mixed so that here will be neir loss nor gain on selling mixed sugar at rate of Rs. 16 per kg, is -


Hint Answer

2. 35 kg of type A sandal powder, which costs Rs. 614 per kg, was mixed with a certain amount of type B sandal powder, which costs Rs. 695 per kg. Then mixture was sold at rate of Rs. 767 per kg and 18% profit was earned. What was amount (in kg) of type B sandal powder in mixture ?


Hint Answer

3. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?


Hint Answer

4. A vessel contains a mixture of Grape, Pineapple and Banana juices in respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to vessel. If resultant quantity of grape juice is 10 litres less than resultant quantity of pineapple juice, what was initial quantity of mixture in vessel ? ( in litres)


Hint Answer

5. In a zoo, re are deers and ducks. If heads are counted, re are 180, while legs are 448. What will be number of deers in zoo?


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6. Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in ratio 2 : 3 by weight. If one-fifth of mixture is sold at Rs. 46 per kg and remaining at rate Rs. 55 per kg, profit percent is -


Hint Answer

7. In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$  on selling mixture at cost price?


Hint Answer

8. The ratio of milk and water in mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is quantity of milk, relative to water, minimum ?


Hint Answer

9. From a container, full of pure milk, 20% is replaced by water and this process is repeated three times. At end of third operation, quantity of pure milk reduces to:


Hint Answer

10. A barrel contains a mixture of wine and water in ratio 3 : 1. How much fraction of mixture must be drawn off and substituted by water so that ratio of wine and water in resultant mixture in barrel becomes 1 : 1 ?


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This Chapter Time-and-Work consists of the following topics

Alligations

The ratio of quantities of sugar, in which sugar costing Rs. 20 per kg and Rs. 15 per kg, should be mixed so that here will be neir loss nor gain on selling mixed sugar at rate of Rs. 16 per kg, is -

;

35 kg of type A sandal powder, which costs Rs. 614 per kg, was mixed with a certain amount of type B sandal powder, which costs Rs. 695 per kg. Then mixture was sold at rate of Rs. 767 per kg and 18% profit was earned. What was amount (in kg) of type B sandal powder in mixture ?

;

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

;

A vessel contains a mixture of Grape, Pineapple and Banana juices in respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to vessel. If resultant quantity of grape juice is 10 litres less than resultant quantity of pineapple juice, what was initial quantity of mixture in vessel ? ( in litres)

;

In a zoo, re are deers and ducks. If heads are counted, re are 180, while legs are 448. What will be number of deers in zoo?

;

Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in ratio 2 : 3 by weight. If one-fifth of mixture is sold at Rs. 46 per kg and remaining at rate Rs. 55 per kg, profit percent is -

;

In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$  on selling mixture at cost price?

;

The ratio of milk and water in mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is quantity of milk, relative to water, minimum ?

;

From a container, full of pure milk, 20% is replaced by water and this process is repeated three times. At end of third operation, quantity of pure milk reduces to:

;

A barrel contains a mixture of wine and water in ratio 3 : 1. How much fraction of mixture must be drawn off and substituted by water so that ratio of wine and water in resultant mixture in barrel becomes 1 : 1 ?

;